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3 years ago

Factor completely 2x3 + x2 - 18x - 9

2 answers:

7 0

Factor the following:
2 x^3 + x^2 - 18 x - 9

Factor terms by grouping. 2 x^3 + x^2 - 18 x - 9 = (2 x^3 + x^2) + (-18 x - 9) = x^2 (2 x + 1) - 9 (2 x + 1):
x^2 (2 x + 1) - 9 (2 x + 1)

Factor 2 x + 1 from x^2 (2 x + 1) - 9 (2 x + 1):
(2 x + 1) (x^2 - 9)

x^2 - 9 = x^2 - 3^2:
(2 x + 1) (x^2 - 3^2)

Factor the difference of two squares. x^2 - 3^2 = (x - 3) (x + 3):

Answer: (x - 3) (x + 3) (2 x + 1) thus the Answer is C.

Contact [7]3 years ago

4 0

Answer:

(x - 3) (x + 3) (2 x + 1) thus the Answer is C.

Step-by-step explanation:

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Expand (2 + a)9 using Pascal’s triangle.

Natalija [7]

Answer:

Step-by-step explanation:

The Pascal triangle is used to determine the coefficients of the terms when we expand the expression.

1 $(A + B) ^ 0$ = 1

1 1 $(A +B ) ^ 1 = 1A + 1B$

1 2 1 $(A+ B) ^ 2 = 1A^2 + 2 AB + 1B^2$

By extending the triangle, you will get the 9th row, which is your expression, of the coefficients. that is

1 9 36 84 126 126 84 36 9 1

Now, fill in AB in the gaps.

1AB + 9 AB + 36AB + 84AB + 126AB + 126AB +84AB + 36AB + 9AB + 1AB

Next, you need to go from the left to fill out the exponent of A and it will go down from 9 (the exponent of the whole thing) . That is

$1A^9B+9A^8B+36A^7B+84A^6B+126A^5B+126A^4B+84A^3B+36A^2B+9A^1B+1A^0B$

Next will be the exponent of B. this time, you go from the right and do the same with A. You can go from the left also, but go up from 0 to 9 for the exponent of B

$1A^9B^0+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+1A^0B^9$

The last step is just to simplify the A^0=1 and B^0 =1 at the first and the last terms.

$A^9+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+B^9$

Hope you can learn the method

5 0

3 years ago

Write an algebraic expression with the variable x that has a value of 3 when evaluated

kari74 [83]

X=23

(x+5) - 25 = 3?

If this is what you mean.

7 0

4 years ago

If f(x) = 2x+4, which of the following is the inverse of f(x)?

creativ13 [48]

Answer:

${f}^{ - 1} (x)= \frac{x}{2} - 2$

Step-by-step explanation:

The given function is

$f(x) = 2x + 4$ Let

$y = 2x + 4$

Interchange x and y.

$x = 2y + 4$

Solve for y,

$x - 4 = 2y$

Divide both sides by 2

$y = \frac{x}{2} - 2$

Therefore;

${f}^{ - 1} (x)= \frac{x}{2} - 2$

3 0

3 years ago

The area of a rectangular field is 8342 yd2 . if the width of the field is 86 yards, what is its length?

Irina18 [472]

97yards...............................................................................................................................................................................................................................................................................................................

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guapka [62]

Answer:

Step-by-step explanation:

7 0

4 years ago